Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added, Elements of Plane and Spherical TrigonometryLippincott, Grambo & Company, 1854 - 317 σελίδες |
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Σελίδα 9
... figure , without any reference to the nature of the line or lines which bound it . 11. A circle is a plane figure ... Rectilineal figures are those which are contained by straight 2 OF GEOMETRY . BOOK I. 'BD, is named the angle ABD, or ...
... figure , without any reference to the nature of the line or lines which bound it . 11. A circle is a plane figure ... Rectilineal figures are those which are contained by straight 2 OF GEOMETRY . BOOK I. 'BD, is named the angle ABD, or ...
Σελίδα 10
... Rectilineal figures are those which are contained by straight lines . 16. Trilateral figures , or triangles , by three straight lines . 17. Quadrilateral , by four straight lines . 18. Multilateral figures , or polygons , by more than ...
... Rectilineal figures are those which are contained by straight lines . 16. Trilateral figures , or triangles , by three straight lines . 17. Quadrilateral , by four straight lines . 18. Multilateral figures , or polygons , by more than ...
Σελίδα 30
... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing straight ...
... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing straight ...
Σελίδα 31
... figure has sides , wanting four . COR . 2. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior angle ABC , with its adjacent exterior ABD , is equal ( 13. 1. ) to two right ...
... figure has sides , wanting four . COR . 2. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior angle ABC , with its adjacent exterior ABD , is equal ( 13. 1. ) to two right ...
Σελίδα 37
... rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a ... figure ABCD , and are therefore called the complements ; The complement BK is equal to the com- plement KD . Because ...
... rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a ... figure ABCD , and are therefore called the complements ; The complement BK is equal to the com- plement KD . Because ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore